Learning Your Way Around

The Progression of Periodicities


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Now let's explore the bulbs on the right side of the Period 3 bulb. Progressing clockwise, we find a different sequence of periodicities. On this side, the periodicities increase in a simple fashion, 3,4,5,6,7,8, etc.

The figure on the left, above, has a periodicity of 8.

Question:
What is the periodicity of the bulb in the figure on the right? [ ]


Let's look at the periodicities of the bulbs in order. Starting with the main body, which is the Period 1 bulb, find the next largest bulb. This is the Period 2 bulb on the left. The next largest bulb is the Period 3 bulb at the top. Continuing clockwise we have the rest of the orderly sequence, 4,5,6,7,8,9, etc...

Notice how there are two distinct Period 5 bulbs, one in the main clockwise progression of periodicities, and one in the Seahorse Valley. The same is true for the Period 7 bulbs, and Period 9, etc.

Next we will learn about the bulbs in between the bulbs, and how to predict their periodicities.